2/3text{of}(51/6-43/8)div11/18 eching

$$\frac { 2 } { 3 } \text { of } ( 5 \frac { 1 } { 6 } - 4 \frac { 3 } { 8 } ) \div 1 \frac { 1 } { 18 }$$

Baholash

$$\frac{1}{2}=0,5$$

Yechim qadamlari

30 hosil qilish uchun 5 va 6 ni ko'paytirish.

$$\frac{\frac{2}{3}\left(\frac{30+1}{6}-\frac{4\times 8+3}{8}\right)}{\frac{1\times 18+1}{18}}$$

31 olish uchun 30 va 1'ni qo'shing.

$$\frac{\frac{2}{3}\left(\frac{31}{6}-\frac{4\times 8+3}{8}\right)}{\frac{1\times 18+1}{18}}$$

32 hosil qilish uchun 4 va 8 ni ko'paytirish.

$$\frac{\frac{2}{3}\left(\frac{31}{6}-\frac{32+3}{8}\right)}{\frac{1\times 18+1}{18}}$$

35 olish uchun 32 va 3'ni qo'shing.

$$\frac{\frac{2}{3}\left(\frac{31}{6}-\frac{35}{8}\right)}{\frac{1\times 18+1}{18}}$$

6 va 8 ning eng kichik umumiy karralisi 24 ga teng. \frac{31}{6} va \frac{35}{8} ni 24 maxraj bilan kasrlarga aylantirib oling.

$$\frac{\frac{2}{3}\left(\frac{124}{24}-\frac{105}{24}\right)}{\frac{1\times 18+1}{18}}$$

\frac{124}{24} va \frac{105}{24} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\frac{2}{3}\times \frac{124-105}{24}}{\frac{1\times 18+1}{18}}$$

19 olish uchun 124 dan 105 ni ayirish.

$$\frac{\frac{2}{3}\times \frac{19}{24}}{\frac{1\times 18+1}{18}}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{2}{3} ni \frac{19}{24} ga ko‘paytiring.

$$\frac{\frac{2\times 19}{3\times 24}}{\frac{1\times 18+1}{18}}$$

\frac{2\times 19}{3\times 24} kasridagi ko‘paytirishlarni bajaring.

$$\frac{\frac{38}{72}}{\frac{1\times 18+1}{18}}$$

\frac{38}{72} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{\frac{19}{36}}{\frac{1\times 18+1}{18}}$$

18 hosil qilish uchun 1 va 18 ni ko'paytirish.

$$\frac{\frac{19}{36}}{\frac{18+1}{18}}$$

19 olish uchun 18 va 1'ni qo'shing.

$$\frac{\frac{19}{36}}{\frac{19}{18}}$$

\frac{19}{36} ni \frac{19}{18} ga bo'lish \frac{19}{36} ga k'paytirish \frac{19}{18} ga qaytarish.

$$\frac{19}{36}\times \frac{18}{19}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{19}{36} ni \frac{18}{19} ga ko‘paytiring.

$$\frac{19\times 18}{36\times 19}$$

Surat va maxrajdagi ikkala 19 ni qisqartiring.

$$\frac{18}{36}$$

\frac{18}{36} ulushini 18 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{1}{2}$$

Omil

$$\frac{1}{2} = 0,5$$